Least Common Multiple of 942/44, 875/49, 948/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 942/44, 875/49, 948/700 quickly i.e. 130231500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 942/44, 875/49, 948/700 is 130231500.

LCM(942/44, 875/49, 948/700) = 130231500

LCM of 942/44, 875/49, 948/700

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 942/44,875/49,948/700

Given numbers are 942/44,875/49,948/700

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 942,875,948

Least Common Multiple of Numerators i.e. LCM of 942,875,948 is 130231500.

GCF of Denominators means GCF of 44,49,700 as per the given fractions.

GCF of 44,49,700 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 942,875,948

LCM of Fractions 942/44,875/49,948/700 is 130231500

2 942, 875, 948
3 471, 875, 474
157, 875, 158

∴ So the LCM of the given numbers is 2 x 3 x 157 x 875 x 158 = 130231500

Least Common Multiple of 942,875,948 with GCF Formula

Least Common Multiple of 942,875,948 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 942,875,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,875,948) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(942,875,948) x common factors =1 x 6 = 6

LCM(942,875,948) = ( 942 × 875 × 948 ) / 6

LCM(942,875,948) = 781389000 / 6

LCM(942,875,948) = 130231500


Lets's calculate GCF of 44,49,700

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130231500/1

Therefore the LCM of Fractions 942/44,875/49,948/700 is 130231500

Greatest Common Factor of 44,49,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,49,700 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 44,49,700 . The biggest common factor number is the GCF number.
So the greatest common factor 44,49,700 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 942/44, 875/49, 948/700

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 942/44, 875/49, 948/700?

Answer: LCM of Numerators as per given numbers 942/44, 875/49, 948/700 is

LCM of Numerators i.e. for 942,875,948 is 130231500

GCF of denominators i.e. for 44,49,700 is 1.

Thus, LCM of Fractions is 130231500.Finally, LCM of Fractions for 942/44, 875/49, 948/700 is 130231500.